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Finding the Third Proportional to 4,498.03 and 9,646.59

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Solution

The third proportional to 4,498.03 and 9,646.59 is: 20,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.03 : 9,646.59 = 9,646.59 : x
  2. Step 2: Convert to fraction form
    4,498.03/9,646.59 = 9,646.59/x
  3. Step 3: Cross multiply
    4,498.03x = 9,646.59 × 9,646.59
  4. Step 4: Simplify right side
    4,498.03x = 93,056,770.98
  5. Step 5: Solve for x
    x = 93,056,770.98/4,498.03
  6. Step 6: Final answer
    x = 20,688.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.